Question

the area of rhombus is a 300 square CM one of its diagonals is 40 cm find the length of the Other diagonals

Answer 1

Area of rhombus of diagonals d1 and d2

= 1/2 x d1 x d2 = 300 cm²

= 1/2 x 40 x d2 = 300 cm²

= 20 x d2 = 300 cm²

d2 = 300 ÷ 20 = 15 cm

∴ 15 cm is the length of the other diagonal.

Answer 2

$\mathbf{Area \: \: of \: \: rhombus = \frac{1}{2} × product \: \: of \: \: diagonals }$




Here, area and length of one diagonal is given



$\bold{ = > \: \: 300 = \frac{1}{2} \times 40 \times other \: diagonal} \\ \\ \\ = > \frac{300 \times 2}{40} = other \: diagonal \\ \\ \\ = > \frac{30 \cancel{0} \times \cancel{2} }{ \cancel{4} \cancel{0} \: \: \: \: ^{2} } = other \: diagonal \\ \\ \\ = > \frac{30}{2} = other \: diagonal \\ \\ \\ = > 15 = other \: digonal$

Hence, length of other diagonal is 15 cm